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84036 = 22347149
BaseRepresentation
bin10100100001000100
311021021110
4110201010
510142121
61445020
7500001
oct244104
9137243
1084036
1158157
1240770
132c334
14228a8
1519d76
hex14844

84036 has 24 divisors (see below), whose sum is σ = 201600. Its totient is φ = 27232.

The previous prime is 84017. The next prime is 84047. The reversal of 84036 is 63048.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 84036.

It is an unprimeable number.

84036 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 490 + ... + 638.

It is an arithmetic number, because the mean of its divisors is an integer number (8400).

284036 is an apocalyptic number.

It is an amenable number.

84036 is an abundant number, since it is smaller than the sum of its proper divisors (117564).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100800).

84036 is a wasteful number, since it uses less digits than its factorization.

84036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 84036 is about 289.8896341714. The cubic root of 84036 is about 43.8014469612.

The spelling of 84036 in words is "eighty-four thousand, thirty-six".

Divisors: 1 2 3 4 6 12 47 94 141 149 188 282 298 447 564 596 894 1788 7003 14006 21009 28012 42018 84036